Looks to me like D|S can, at least, fake "reflective" caustics:

http://docs.daz3d.com/doku.php/public/software/dazstudio/4/referenceguide/interface/panes/shader_mixer/bricks/dzcausticsurfacebrick/start

I don't know if it can do refractive caustics.

Carrara doesn't do caustics that I am aware of natively.  There might be a plugin for it though, not sure.

Maya, Lightwave, 3dsmax, Cinema4D etc.  all use high end physics based render engines, with at least the option of rendering with caustics.  Engines like Vray, MentalRay, and others do great caustics, both relective and refractive.

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Tools :  3dsmax 2015, Daz Studio 4.6, PoserPro 2012, Blender v2.74

System: Pentium QuadCore i7, under Win 8, GeForce GTX 780 / 2GB GPU.